Collocation-based two-step Runge-Kutta methods

Japan Journal of Industrial and Applied Mathematics

Volumn 13, Issue 1, 1996, Pages 171-183

  Cong, Nguyen Huu ^a   Mitsui, Taketomo ^a,b  

^a HANOI UNIVERSITY   (Viet Nam)

^b NAGOYA UNIVERSITY   (Japan)

Author keywords

Collocation; Runge Kutta methods; Two step Runge Kutta; Zero stability

Indexed keywords

EID: 0009345728     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167304     Document Type: Article

References (10)

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3. E. Hairer, S.P. Nørsett and G. Wanner, Solving Ordinary Differential Equations, I. Nonstiff Problems. Springer-Verlag, Berlin, 1987.
4. K.R. Jackson and S.P. Nørsett, The potential for parallelism in Runge-Kutta methods. Part 1: RK formulas in standard form. SIAM J. Numer. Anal., 32 (1995), 49-82.
5. Nguyen huu Cong, Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial value problems. J. Comp. Appl. Math., 51 (1994), 117-125.
6. Nguyen huu Cong, Direct collocation-based two-step Runge-Kutta-Nyström methods. SEA Bull. Math., 19 (1995), No. 3, 49-58.
7. Nguyen huu Cong, Explicit parallel two-step Runge-Kutta-Nyström methods. Submitted for publication, 1993.
8. Nguyen huu Cong, Two-step Runge-Kutta methods on parallel computers. In preparation.
9. S.P. Nørsett and H.H. Simonsen, Aspects of parallel Runge-Kutta methods. Numerical Methods for Ordinary Differential Equations (eds. A. Bellen, C.W. Gear and E. Russo), Proceedings Aquila Symposium, Lecture Notes in Mathematics 1386, Springer-Verlag, Berlin, 1989.
10. P.J. van der Houwen and Nguyen huu Cong, Parallel block predictor-corrector methods of Runge-Kutta type. Appl. Numer. Math., 13 (1993), 109-123.